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In an AP :- given a = 8, an = 62. Sn=...

In an AP :- given a = 8, `a_n` = 62. `S_n`=210, find n and d .

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NAND LAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXERCISE 5.3
  1. Find the sums given below :- 34 + 32 + 30 + ... + 10 .

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  2. Find the sums given below :- - 5 + (- 8) + (- 11) +...+ (- 230).

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  3. In an AP :- given a = 5, d = 3, an = 50 find n and Sn.

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  4. In an AP :- given a = 7, a13 = 35 find d and S13.

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  5. In an AP :- given a12 = 37, d = 3, find a and S12.

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  6. In an AP :- given a3 = 15, d , S10=125 find d and a10.

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  7. In an AP :- given d = 5, S9=75, find a and a9.

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  8. In an AP :- given a = 2, d = 8, Sn = 90 find n and an.

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  9. In an AP :- given a = 8, an = 62. Sn=210, find n and d .

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  10. In an AP :- given an = 4, d=2, Sn=-14, find n and a .

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  11. In an AP :- given a = 3, n = 8, S = 192, find d.

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  12. In an AP :- given l = 28, S = 144, and there are total 9 terms. Find ...

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  13. How many terms of the A.P : 9, 17, 25... must be taken to give a sum o...

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  14. Find the sum of first 22 terms of an AP in which d=7 and 22nd term is ...

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  15. If the sum of first 7 terms of an AP is 49 and that of 17, terms is 28...

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  16. Show that a1,a2,….an,…form an AP where an is defined as below,- an=3+4...

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  17. Show that a1,a2,….an,…form an AP where an is defined as below,- an=9-5...

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  18. Find the sum of the first 40 positive integers divisible by 6.

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  19. Find the sum of first 15 multiples of 8.

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  20. A spiral is made up of successive semicircles, with centres alternatel...

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